Results 21 to 30 of about 7,903 (155)
Asymptotic Analysis of Low Energy Extremals with Γ-Convergence in Variable Exponent Lebesgue Spaces
In many physical models, internal energy will run out without external energy sources. Therefore, finding optimal energy sources and studying their behavior are essential issues.
Adil Siddique +3 more
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Schatten Index of the Sectorial Operator via the Real Component of Its Inverse
In this paper, we study spectral properties of non-self-adjoint operators with the discrete spectrum. The main challenge is to represent a complete description of belonging to the Schatten class through the properties of the Hermitian real component. The
Maksim V. Kukushkin
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Characterization of Riesz and Bessel potentials on variable Lebesgue spaces
Riesz and Bessel potential spaces are studied within the framework of the Lebesgue spaces with variable exponent. It is shown that the spaces of these potentials can be characterized in terms of convergence of hypersingular integrals, if one assumes that
Alexandre Almeida, Stefan Samko
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Region of Convergence of Dirichlet Series with Complex Exponents [PDF]
the series converges absolutely. In this paper we give a simpler definition (5) of the maximal region, a generalization (4) of the CauchyHadamard formula to give the distance from an interior point to the frontier of this region, and, as an application of this formula, a generalization (Theorem 2) of Hille's result.
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A Dynamical System With Fixed Convergence Time for Sparse Recovery
The sparse recovery (SR) algorithm, under the premise that signals are sparse, can be divided into two categories. One is a digital discrete method implemented via lots of iterative computations and the other is a continuous method implemented via analog
Junying Ren +4 more
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The exponent of convergence of poincar� series
This paper continues the systematic study of the exponent of convergence δ(G) of a Fuchsian groupG begun byA. F. Beardon. The object is to show that in various senses δ(G) is a continuous function ofG. In view of the incompleteness of our knowledge about δ(G) considerable attention is paid to illustrative examples.
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Renormalization Exponents and Optimal Pointwise Rates of Convergence
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Donoho, David L., Low, Mark G.
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Weighted Variable Exponent Sobolev spaces on metric measure spaces
In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
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$\Gamma$-convergence for power-law functionals with variable exponents
We study the $\Gamma$-convergence of the functionals $F_n(u):= || f(\cdot,u(\cdot),Du(\cdot))||_{p_n(\cdot)}$ and $\mathcal{F}_n(u):= \int_{\Omega} \frac{1}{p_n(x)} f^{p_n(x)}(x,u(x),Du(x))dx$ defined on $X\in \{L^1(\Omega,\mathbb{R}^d), L^\infty(\Omega,\mathbb{R}^d), C(\Omega,\mathbb{R}^d)\}$ (endowed with their usual norms) with effective domain the ...
Eleuteri, Michela, Prinari, Francesca
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On the exponent of exponential convergence of p-version FEM spaces [PDF]
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